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Integrate the function 1/sqrt(9-x^2) with respect to x

Hint: Use the substitution x = 3sin(u)Method: substitute u into the function then times it all by dx/du. Simplify and integrate with respect to u to get u. Then resubstitute x back into the equation to ge...

Answered by Luke G. Maths tutor
3013 Views

Given two coordinate points (a1,b1) and (a2,b2), how do I find the equation of the straight line between them?

Firstly, remember that we can write such a line in the form y = mx + c, where x and y are our two axes, m is the gradient of the line, and c is the y-axis intersection point. Given this general formula, w...

Answered by Lewis H. Maths tutor
6675 Views

Question 6 from Aqa 2017 June paper for C4, the vector question

Solution for a) and b) via the link: https://imgur.com/a/ESjeeLJSolution for c) and d) via the link: https://imgur.com/a/1ZmbQdc

Answered by Tutor131357 D. Maths tutor
2574 Views

What is a limit?

In mathematics, the limit of a function is the value, towards which a function tends, as the independent variable of the given function gets closer and closer to some number. In other words, take our func...

Answered by Martin S. Maths tutor
2749 Views

A ladder of length 3.5m rests against a vertical wall and makes an angle of 40* with the floor. How far up the wall does top of the ladder reach?

We can use trigonometry to answer this question using the following steps: Sketch the question out Label the right angled triangle correctly (using information in the question)Identify the correct equatio...

Answered by Helena W. Maths tutor
3926 Views

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